Ceva, Giovanni, Geometria motus, 1692
page |< < of 110 > >|
    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s id="s.000117">
                <pb pagenum="10" xlink:href="022/01/016.jpg"/>
              homogeneæ ipſæ imagines, ſi vt ex Def. 4. huius IL ad HF
                <lb/>
              erit vt velocitas inſtanti I ad velocitatem mobilis inſtanti
                <lb/>
              F) Dico ſpatium AB ad DE eſſe vt imago rectangulum̨
                <lb/>
              ILMK ad imaginem rectangulum FHNG. </s>
              <s id="s.000118">Componuntur
                <lb/>
              ipſa illa rectangula ex ratione altitudinum IK ad FG, & ex
                <lb/>
              ea baſium IL ad FH; verùm ex ijſdem, ea nempe
                <expan abbr="temporũ">temporum</expan>
                <lb/>
                <arrow.to.target n="marg24"/>
                <lb/>
              IK ad FG, atque ea velocitatum IL ad FH componitur
                <lb/>
              etiam ratio ſpatiorum AB ad DE, ergo ipſa ſpatia erunt vt
                <lb/>
              propoſitę imagines.
                <lb/>
                <arrow.to.target n="marg25"/>
              </s>
            </p>
            <p type="margin">
              <s id="s.000119">
                <margin.target id="marg23"/>
                <emph type="italics"/>
              Tab.
                <emph.end type="italics"/>
              1.
                <emph type="italics"/>
              Fig.
                <emph.end type="italics"/>
              9.
                <lb/>
                <emph type="italics"/>
              Cor. </s>
              <s id="s.000120">Dif.
                <emph.end type="italics"/>
              3.
                <lb/>
                <emph type="italics"/>
              huius.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="margin">
              <s id="s.000121">
                <margin.target id="marg24"/>
                <emph type="italics"/>
              Gil. de motu
                <lb/>
              æquabili.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="margin">
              <s id="s.000122">
                <margin.target id="marg25"/>
                <emph type="italics"/>
              Tab.
                <emph.end type="italics"/>
              1.
                <emph type="italics"/>
              fig
                <emph.end type="italics"/>
              10.</s>
            </p>
            <p type="main">
              <s id="s.000123">2. Sint nunc motus iuxta imagines, quarum altera acu­
                <lb/>
              minata, altera rectangulum ſit. </s>
              <s id="s.000124">Dico rurſus ſpatium AB,
                <lb/>
              quod curritur iuxta imaginem ABCD ad ſpatium DE,
                <lb/>
              quod curritur iuxta alteram imaginem, eſſe vt imago
                <lb/>
              ABCD ad imaginem PHNG. </s>
              <s id="s.000125">Niſi ita ſit, erit alia magni­
                <lb/>
              tudo Y maior, vel minor imagine ABCD, quæ quidem ad
                <lb/>
              alteram imaginem HPGN habebit eandem rationem,
                <expan abbr="quã">quam</expan>
                <lb/>
              ſpatium AB ad DE. </s>
              <s id="s.000126">Sit primùm maior exceſſu Z. Cir­
                <lb/>
              cumſcribatur; vt egimus in ſecunda parte primæ huius, fi­
                <lb/>
              gura imagini ABCD conſtans ex rectangulis æquè altis,
                <lb/>
              excedatque imaginem ABCD exceſſu minori, quam Z; ſit
                <lb/>
              ergo circumſcripta illa AE, HF, IG, KG, quam primò fa­
                <lb/>
              cilè oſtendemus minorem magnitudine Y; nam hæc exceſ­
                <lb/>
              ſu magis diſtat ab imagine, quàm circumſcripta illa. </s>
              <s id="s.000127">Præ­
                <lb/>
              terea ſi intelligantur tot motus æquabiles, quot ſunt
                <expan abbr="rectã-gula">rectan­
                  <lb/>
                gula</expan>
              circumſcripta, ij nempe, qui fierent temporibus AH,
                <lb/>
              HI, IK, KD iuxta deinceps imagines ipſa rectangula AE,
                <lb/>
              HF, IG, KC interſe, & propoſitis imaginibus homogeneas,
                <lb/>
              velocitates, quibus ijdem motus conſiderarentur, forent
                <lb/>
              HE, IF, KG, DC, nimirum maximæ imaginum ABEH,
                <lb/>
              HEFI, IFGK, KGCD; Cumque ita ſit, longiora ſpatia cur­</s>
            </p>
            <p type="main">
              <s id="s.000128">
                <arrow.to.target n="marg26"/>
                <lb/>
              rerentur iuxta imagines rectangula circumſcripta, quam
                <lb/>
              ijſdem temporibus, imaginibuſque poſtremis, hoc eſt
                <expan abbr="quã">quam</expan>
                <lb/>
              tempore AD iuxta imaginem ABCD; obidque ſpatium
                <lb/>
              AB ad DE, ſeu magnitudo Y ad imaginem HPGN habe-</s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>